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Finding the Fourth Proportional to 271,688.60, 407,002.80 and 177,910.04

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Solution

The fourth proportional to 271,688.60, 407,002.80 and 177,910.04 is: 266,517.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,688.60 : 407,002.80 = 177,910.04 : x
  2. Step 2: Convert to fraction form
    271,688.60/407,002.80 = 177,910.04/x
  3. Step 3: Cross multiply
    271,688.60x = 407,002.80 × 177,910.04
  4. Step 4: Simplify right side
    271,688.60x = 72,409,884,428.11
  5. Step 5: Solve for x
    x = 72,409,884,428.11/271,688.60
  6. Step 6: Final answer
    x = 266,517.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.